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212111221100 = 225210123418971
BaseRepresentation
bin1100010110001011010…
…0000110000101101100
3202021111101200110111212
43011202310012011230
511433400433033400
6241235331333552
721216212426342
oct3054264060554
9667441613455
10212111221100
1181a57288939
12351377512b8
1317004525aac
14a3a27b1992
1557b6864335
hex3162d0616c

212111221100 has 72 divisors (see below), whose sum is σ = 465088992816. Its totient is φ = 83959200000.

The previous prime is 212111221099. The next prime is 212111221117. The reversal of 212111221100 is 1122111212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23639615 + ... + 23648585.

Almost surely, 2212111221100 is an apocalyptic number.

212111221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232544496408).

212111221100 is an abundant number, since it is smaller than the sum of its proper divisors (252977771716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212111221100 is a wasteful number, since it uses less digits than its factorization.

212111221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212111221100 its reverse (1122111212), we get a palindrome (213233332312).

The spelling of 212111221100 in words is "two hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2341 2525 4682 5050 8971 9364 10100 11705 17942 23410 35884 44855 46820 58525 89710 117050 179420 224275 234100 236441 448550 472882 897100 906071 945764 1182205 1812142 2364410 3624284 4530355 4728820 5911025 9060710 11822050 18121420 21001111 22651775 23644100 42002222 45303550 84004444 90607100 105005555 210011110 420022220 525027775 1050055550 2100111100 2121112211 4242224422 8484448844 10605561055 21211122110 42422244220 53027805275 106055610550 212111221100